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Finding the Fourth Proportional to 30,277.84, 45,418.68 and 9,502.16

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Solution

The fourth proportional to 30,277.84, 45,418.68 and 9,502.16 is: 14,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.84 : 45,418.68 = 9,502.16 : x
  2. Step 2: Convert to fraction form
    30,277.84/45,418.68 = 9,502.16/x
  3. Step 3: Cross multiply
    30,277.84x = 45,418.68 × 9,502.16
  4. Step 4: Simplify right side
    30,277.84x = 431,575,564.35
  5. Step 5: Solve for x
    x = 431,575,564.35/30,277.84
  6. Step 6: Final answer
    x = 14,253.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.